摘要
自然单元法是一种基于Voronoi图及Delaunay三角形剖分图,以自然邻接点插值函数为试函数的无网格数值方法。以目前该方法中自然邻接点的Laplace插值形函数为基础,求出了其一阶及二阶导函数,建立了双参数地基上Kirchhoff板弯曲挠度的自然单元法求解控制方程,并编制了相应的计算程序。通过算例分析表明了该文方法的可行性和有效性。
Based on Voronoi diagram and Delaunay triangulation, natural element method （NEM） is a meshless method built on natural neighbor interpolation shape function. 1 st and 2nd derivatives of Laplace natural neighbor interpolation function are deduced. Then the governing equations of natural element method to deflection solution of Kirchhoff plate bending on two-parameter soil foundation are achieved. Numerical results indicate that the proposed theory and the corresponding program are feasible and effective.
出处
《工程力学》
EI
CSCD
北大核心
2008年第5期196-201,共6页
Engineering Mechanics
基金
交通部西部交通建设科技项目(200231800026)
